We look at the division of 52378 by 6 
We want to figure out the number of times 52378 can be divided by 6.

Advancing to step 1:
5 divided by 6 is 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Append the next digit (2) from the dividend to 5 and continue with: 52 / 6

Let's proceed to step 2:
6 can be fit into 52 8 times, resulting in a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
If we take 48 away from 52, we end up with 4.
Append the next digit (3) from the dividend to 4 and continue with: 43 / 6

Going ahead to step 3:
43 divided by 6 is 7 with a remainder of 1.
Write down 7 as next digit of the result. 
Result so far: 87.0
Subtract 42 from 43 to get 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 6

On to step 4:
When dividing 17 by 6, we get 2 with a remainder of 5.
Put 2 as the next digit of the answer. 
Result so far: 872.0
If we subtract 12 from 17, we get 5.
Include the next digit (8) from the dividend after 5, then repeat: 58 / 6

On to step 5:
6 can be fit into 58 9 times, resulting in a remainder of 4.
The next digit of our result is 9. 
Result so far: 8729.0
If we subtract 54 from 58, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 6:
6 goes into 40 6 times with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 8729.6
The remainder is 4 after subtracting 36 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 7:
The number 6 fits into 40 6 times, leaving a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 8729.66
If we subtract 36 from 40, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

After the division, we end up with 8729.66 and a remainder of 0.004.